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221414132200031 = 19431912111672143
BaseRepresentation
bin110010010101111111111110…
…101100101011001001011111
31002000221222120120022111121222
4302111333332230223021133
5213010122120320400111
62102524125332243555
764431433413611021
oct6225777654531137
91060858516274558
10221414132200031
116460522a410731
12209bb660a705bb
139671355c94604
143c96703338011
151a8e752acd7db
hexc95ffeb2b25f

221414132200031 has 32 divisors (see below), whose sum is σ = 239850230906880. Its totient is φ = 203713066216800.

The previous prime is 221414132200007. The next prime is 221414132200057. The reversal of 221414132200031 is 130002231414122.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-221414132200031 is a prime.

It is a super-2 number, since 2×2214141322000312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221414132200091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329079146 + ... + 329751288.

It is an arithmetic number, because the mean of its divisors is an integer number (7495319715840).

Almost surely, 2221414132200031 is an apocalyptic number.

221414132200031 is a deficient number, since it is larger than the sum of its proper divisors (18436098706849).

221414132200031 is a wasteful number, since it uses less digits than its factorization.

221414132200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674507.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 221414132200031 its reverse (130002231414122), we get a palindrome (351416363614153).

The spelling of 221414132200031 in words is "two hundred twenty-one trillion, four hundred fourteen billion, one hundred thirty-two million, two hundred thousand, thirty-one".

Divisors: 1 19 43 191 817 2111 3629 8213 40109 90773 156047 403201 672143 1724687 7660819 12770717 17337643 28902149 128379313 329415217 549140831 1418893873 2439206947 5520310459 26958983587 61012436539 104885898721 271008729743 1159236294241 5149165865117 11653375378949 221414132200031